GCF of 3386/289, 1484/5719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3386/289, 1484/5719 i.e 2/1652791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3386/289, 1484/5719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3386/289,1484/5719?
Given fractions are 3386/289,1484/5719
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3386/289,1484/5719, numerators are 3386,1484
Denominators are 289,5719
The GCF of 3386,1484 is 2 .
LCM of 289,5719 is 1652791.
The greatest common factor of 3386/289,1484/5719 = [GCF of 3386,1484]/[LCM of 289,5719]= 2/1652791
Therefore, the GCF of 3386/289,1484/5719 is 2/1652791.
To find the highest common factor of 3386,1484, we have to find the factors of both numbers and list the highest common factor.
The factors of 3386 are 1, 2, 1693, 3386
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484
The HCF of 3386,1484 is 2.
Lets's calculate GCF of 3386,1484
| 2 | 3386, 1484 |
| 1693, 742 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3386,1484 By Matching Biggest Common Factor Method
Now, list down the factors of 3386
:1,2,1693,3386
Now, list down the factors of 1484
:1,2,4,7,14,28,53,106,212,371,742,1484
Greatest Common Factor
We found the factors 3386,1484 . The biggest common factor number is the GCF number.
So the greatest common factor 3386,1484 is 2.
Lets's calculate LCM of 289,5719
Given numbers has no common factors except 1. So, there LCM is their product i.e 1652791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1652791
Therefore, the GCF of Fractions 3386/289,1484/5719 is 2/1652791
Least Common Multiple of 289,5719 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 289,5719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,5719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,5719) x common factors =1 x 1 = 1
LCM(289,5719) = ( 289 × 5719 ) / 1
LCM(289,5719) = 1652791 / 1
LCM(289,5719) = 1652791
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FAQs on GCF of Fractions of 3386/289, 1484/5719
1. What is the HCF of 3386,1484?
The HCF of 3386,1484 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3386/289, 1484/5719?
Answer: GCF of Numerators as per given numbers 3386/289, 1484/5719 is
GCF of Numerators i.e. for 3386,1484 is 2
LCM of denominators i.e. for 289,5719 is 1652791.
Thus, GCF of Fractions is 2/1652791.Finally, GCF of Fractions for 3386/289, 1484/5719 is 2/1652791.